KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 1 of 172
» Basic Mathematics » Algebra » Simplifying Expressions
Appeared in Year: 2010
MCQ▾
Question
Let be a differentiable function such that and for some a < b. Then the minimum numbers of roots of in the interval (a, b) is –
Choices
Choice (4)  Response  

a.  0 

b.  1 

c.  3 

d.  2 

Answer
d.
Explanation
Since it is given that,
Both are either positive or both are negative.
Also, , Therefore only two roots are possible in interval of (a, b).